Displaying similar documents to “Controllability of impulsive semilinear functional differential inclusions with finite delay in Fréchet spaces”

Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator

Irene Benedetti, Valeri Obukhovskii, Pietro Zecca (2011)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear...

Impulsive semilinear neutral functional differential inclusions with multivalued jumps

Nadjet Abada, Ravi P. Agarwal, Mouffak Benchohra, Hadda Hammouche (2011)

Applications of Mathematics

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In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.

Schauder's fixed-point theorem in approximate controllability problems

Artur Babiarz, Jerzy Klamka, Michał Niezabitowski (2016)

International Journal of Applied Mathematics and Computer Science

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The main objective of this article is to present the state of the art concerning approximate controllability of dynamic systems in infinite-dimensional spaces. The presented investigation focuses on obtaining sufficient conditions for approximate controllability of various types of dynamic systems using Schauder's fixed-point theorem. We describe the results of approximate controllability for nonlinear impulsive neutral fuzzy stochastic differential equations with nonlocal conditions,...

Existence and controllability for nondensely defined partial neutral functional differential inclusions

Khalil Ezzinbi, Soumia Lalaoui Rhali (2015)

Applications of Mathematics

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We give sufficient conditions for the existence of integral solutions for a class of neutral functional differential inclusions. The assumptions on the generator are reduced by considering nondensely defined Hille-Yosida operators. Existence and controllability results are established by combining the theory of addmissible multivalued contractions and Frigon's fixed point theorem. These results are applied to a neutral partial differential inclusion with diffusion.

Controllability on infinite time horizon for first and second order functional differential inclusions in Banach spaces

Mouffak Benchohra, Lech Górniewicz, Sotiris K. Ntouyas (2001)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper, we shall establish sufficient conditions for the controllability on semi-infinite intervals for first and second order functional differential inclusions in Banach spaces. We shall rely on a fixed point theorem due to Ma, which is an extension on locally convex topological spaces, of Schaefer's theorem. Moreover, by using the fixed point index arguments the implicit case is treated.